2451651840 has 288 divisors, whose sum is σ = 9492336000. Its totient is φ = 594247680.

The previous prime is 2451651827. The next prime is 2451651859. The reversal of 2451651840 is 481561542.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 2451651795 and 2451651804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 376936 + ... + 383384.

It is an arithmetic number, because the mean of its divisors is an integer number (32959500).

Almost surely, 2^2451651840 is an apocalyptic number.

2451651840 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 2451651840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4746168000).

2451651840 is an abundant number, since it is smaller than the sum of its proper divisors (7040684160).

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

2451651840 is a wasteful number, since it uses less digits than its factorization.

2451651840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6490 (or 6470 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 2451651840 is about 49514.1579752701. The cubic root of 2451651840 is about 1348.4026539446.

The spelling of 2451651840 in words is "two billion, four hundred fifty-one million, six hundred fifty-one thousand, eight hundred forty".