2455741260 has 384 divisors, whose sum is σ = 9496166400. Its totient is φ = 514149120.

The previous prime is 2455741201. The next prime is 2455741261. The reversal of 2455741260 is 621475542.

It is a happy number.

2455741260 is a `hidden beast` number, since 2 + 4 + 557 + 41 + 2 + 60 = 666.

2455741260 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2455741261) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2225869 + ... + 2226971.

It is an arithmetic number, because the mean of its divisors is an integer number (24729600).

Almost surely, 2^2455741260 is an apocalyptic number.

2455741260 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 2455741260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4748083200).

2455741260 is an abundant number, since it is smaller than the sum of its proper divisors (7040425140).

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

2455741260 is a wasteful number, since it uses less digits than its factorization.

2455741260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 2455741260 is about 49555.4362305489. The cubic root of 2455741260 is about 1349.1519612204.

The spelling of 2455741260 in words is "two billion, four hundred fifty-five million, seven hundred forty-one thousand, two hundred sixty".