2545401456 has 160 divisors (see below), whose sum is σ = 8140104000. Its totient is φ = 756145152.

The previous prime is 2545401451. The next prime is 2545401491. The reversal of 2545401456 is 6541045452.

2545401456 is a `hidden beast` number, since 2 + 54 + 540 + 14 + 56 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2545401456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2545401451) 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, 155050 + ... + 170678.

It is an arithmetic number, because the mean of its divisors is an integer number (50875650).

Almost surely, 2^2545401456 is an apocalyptic number.

2545401456 is a gapful number since it is divisible by the number (26) 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 2545401456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4070052000).

2545401456 is an abundant number, since it is smaller than the sum of its proper divisors (5594702544).

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

2545401456 is a wasteful number, since it uses less digits than its factorization.

2545401456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15688 (or 15676 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The square root of 2545401456 is about 50451.9717751447. The cubic root of 2545401456 is about 1365.3754697087.

The spelling of 2545401456 in words is "two billion, five hundred forty-five million, four hundred one thousand, four hundred fifty-six".