2455837440 has 288 divisors, whose sum is σ = 9027088896. Its totient is φ = 557383680.

The previous prime is 2455837411. The next prime is 2455837441. The reversal of 2455837440 is 447385542.

It is a super-2 number, since 2×2455837440² = 12062275063411507200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2455837392 and 2455837401.

It is not an unprimeable number, because it can be changed into a prime (2455837441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5671464 + ... + 5671896.

Almost surely, 2^2455837440 is an apocalyptic number.

2455837440 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 2455837440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4513544448).

2455837440 is an abundant number, since it is smaller than the sum of its proper divisors (6571251456).

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

2455837440 is a wasteful number, since it uses less digits than its factorization.

2455837440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 42.

The square root of 2455837440 is about 49556.4066493930. The cubic root of 2455837440 is about 1349.1695743329.

The spelling of 2455837440 in words is "two billion, four hundred fifty-five million, eight hundred thirty-seven thousand, four hundred forty".