2545952004 has 72 divisors (see below), whose sum is σ = 6655434240. Its totient is φ = 819763200.

The previous prime is 2545951979. The next prime is 2545952029. The reversal of 2545952004 is 4002595452.

2545952004 is a `hidden beast` number, since 2 + 545 + 95 + 20 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2545951979) and next prime (2545952029).

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 2545952004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 713577 + ... + 717135.

Almost surely, 2^2545952004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2545952004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3327717120).

2545952004 is an abundant number, since it is smaller than the sum of its proper divisors (4109482236).

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

2545952004 is a wasteful number, since it uses less digits than its factorization.

2545952004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4241 (or 4236 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 2545952004 is about 50457.4276395458. The cubic root of 2545952004 is about 1365.4739021902.

The spelling of 2545952004 in words is "two billion, five hundred forty-five million, nine hundred fifty-two thousand, four".