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2455954278240 = 2535172923934337
BaseRepresentation
bin100011101111010010010…
…010000100011101100000
322200210020200021001210110
4203233102102010131200
5310214243243400430
65120125543331320
7342302556631431
oct43572222043540
98623220231713
102455954278240
11867623188641
12337b92150b40
1314a7983c0198
1486c2408d488
1543d41d717b0
hex23bd2484760

2455954278240 has 384 divisors, whose sum is σ = 8479285234560. Its totient is φ = 594755452928.

The previous prime is 2455954278233. The next prime is 2455954278247. The reversal of 2455954278240 is 428724595542.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2455954278233) and next prime (2455954278247).

It is a super-2 number, since 2×24559542782402 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2455954278247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 566277352 + ... + 566281688.

It is an arithmetic number, because the mean of its divisors is an integer number (22081471965).

Almost surely, 22455954278240 is an apocalyptic number.

2455954278240 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 2455954278240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4239642617280).

2455954278240 is an abundant number, since it is smaller than the sum of its proper divisors (6023330956320).

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

2455954278240 is a wasteful number, since it uses less digits than its factorization.

2455954278240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6794 (or 6786 counting only the distinct ones).

The product of its (nonzero) digits is 32256000, while the sum is 57.

The spelling of 2455954278240 in words is "two trillion, four hundred fifty-five billion, nine hundred fifty-four million, two hundred seventy-eight thousand, two hundred forty".