2451889440 has 1152 divisors, whose sum is σ = 11872707840. Its totient is φ = 470292480.

The previous prime is 2451889399. The next prime is 2451889441. The reversal of 2451889440 is 449881542.

2451889440 is a `hidden beast` number, since 2 + 4 + 518 + 8 + 94 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2451889441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 188606874 + ... + 188606886.

It is an arithmetic number, because the mean of its divisors is an integer number (10306170).

Almost surely, 2^2451889440 is an apocalyptic number.

2451889440 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 2451889440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5936353920).

2451889440 is an abundant number, since it is smaller than the sum of its proper divisors (9420818400).

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

2451889440 is a wasteful number, since it uses less digits than its factorization.

2451889440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 2451889440 is about 49516.5572308900. The cubic root of 2451889440 is about 1348.4462123483.

The spelling of 2451889440 in words is "two billion, four hundred fifty-one million, eight hundred eighty-nine thousand, four hundred forty".