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2420149155840 = 211345131911813
BaseRepresentation
bin100011001101111100001…
…000010111100000000000
322120100211100121101120000
4203031330020113200000
5304122431140441330
65051445015320000
7336564360255453
oct43157410274000
98510740541500
102420149155840
1185341a118199
1233105b080000
131472b0441c20
14851c8a8349a
1542e487a6560
hex2337c217800

2420149155840 has 960 divisors, whose sum is σ = 9834346922400. Its totient is φ = 564327088128.

The previous prime is 2420149155829. The next prime is 2420149155863. The reversal of 2420149155840 is 485519410242.

2420149155840 is a `hidden beast` number, since 2 + 4 + 2 + 0 + 1 + 4 + 91 + 558 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×24201491558402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 204865774 + ... + 204877586.

Almost surely, 22420149155840 is an apocalyptic number.

2420149155840 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 2420149155840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4917173461200).

2420149155840 is an abundant number, since it is smaller than the sum of its proper divisors (7414197766560).

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

2420149155840 is a wasteful number, since it uses less digits than its factorization.

2420149155840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11884 (or 11855 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 2420149155840 in words is "two trillion, four hundred twenty billion, one hundred forty-nine million, one hundred fifty-five thousand, eight hundred forty".