2451551200 has 144 divisors (see below), whose sum is σ = 6866373024. Its totient is φ = 837273600.

The previous prime is 2451551107. The next prime is 2451551203. The reversal of 2451551200 is 21551542.

2451551200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2451551203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1774510 + ... + 1775890.

It is an arithmetic number, because the mean of its divisors is an integer number (47683146).

Almost surely, 2^2451551200 is an apocalyptic number.

2451551200 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 2451551200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3433186512).

2451551200 is an abundant number, since it is smaller than the sum of its proper divisors (4414821824).

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

2451551200 is a wasteful number, since it uses less digits than its factorization.

2451551200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1725 (or 1712 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The square root of 2451551200 is about 49513.1416898585. The cubic root of 2451551200 is about 1348.3842031056.

The spelling of 2451551200 in words is "two billion, four hundred fifty-one million, five hundred fifty-one thousand, two hundred".