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2928940439040 = 293357112371337
BaseRepresentation
bin101010100111110010011…
…101000101011000000000
3101101000002220011120012000
4222213302131011120000
5340441432223022130
610121311530304000
7421415605645320
oct52476235053000
911330086146160
102928940439040
11a2a17a57a8a0
123b3794288000
13183275a23205
14a1a936ab280
15512c60d9260
hex2a9f2745600

2928940439040 has 2560 divisors, whose sum is σ = 13766341754880. Its totient is φ = 572247244800.

The previous prime is 2928940439027. The next prime is 2928940439053. The reversal of 2928940439040 is 409340498292.

2928940439040 is a `hidden beast` number, since 2 + 92 + 89 + 4 + 0 + 439 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (2928940439027) and next prime (2928940439053).

It is a tau number, because it is divible by the number of its divisors (2560).

It is a super-2 number, since 2×29289404390402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8691217752 + ... + 8691218088.

It is an arithmetic number, because the mean of its divisors is an integer number (5377477248).

Almost surely, 22928940439040 is an apocalyptic number.

2928940439040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2928940439040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6883170877440).

2928940439040 is an abundant number, since it is smaller than the sum of its proper divisors (10837401315840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2928940439040 is a wasteful number, since it uses less digits than its factorization.

2928940439040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 2928940439040 in words is "two trillion, nine hundred twenty-eight billion, nine hundred forty million, four hundred thirty-nine thousand, forty".