2451260640 has 48 divisors (see below), whose sum is σ = 7721472528. Its totient is φ = 653669376.

The previous prime is 2451260633. The next prime is 2451260657. The reversal of 2451260640 is 460621542.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2451260598 and 2451260607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2552917 + ... + 2553876.

It is an arithmetic number, because the mean of its divisors is an integer number (160864011).

Almost surely, 2^2451260640 is an apocalyptic number.

2451260640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2451260640 is an abundant number, since it is smaller than the sum of its proper divisors (5270211888).

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

2451260640 is a wasteful number, since it uses less digits than its factorization.

2451260640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5106811 (or 5106803 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 2451260640 is about 49510.2074324073. The cubic root of 2451260640 is about 1348.3309304412.

The spelling of 2451260640 in words is "two billion, four hundred fifty-one million, two hundred sixty thousand, six hundred forty".