2679542640 has 320 divisors, whose sum is σ = 9820800000. Its totient is φ = 669606912.

The previous prime is 2679542617. The next prime is 2679542651. The reversal of 2679542640 is 462459762.

2679542640 is a `hidden beast` number, since 2 + 67 + 9 + 542 + 6 + 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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4473061 + ... + 4473659.

It is an arithmetic number, because the mean of its divisors is an integer number (30690000).

Almost surely, 2^2679542640 is an apocalyptic number.

2679542640 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 2679542640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4910400000).

2679542640 is an abundant number, since it is smaller than the sum of its proper divisors (7141257360).

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

2679542640 is a wasteful number, since it uses less digits than its factorization.

2679542640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 2679542640 is about 51764.2988941220. The cubic root of 2679542640 is about 1388.9508913500.

The spelling of 2679542640 in words is "two billion, six hundred seventy-nine million, five hundred forty-two thousand, six hundred forty".