2512820940 has 288 divisors, whose sum is σ = 8580096000. Its totient is φ = 547223040.

The previous prime is 2512820939. The next prime is 2512820951. The reversal of 2512820940 is 490282152.

2512820940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7199886 + ... + 7200234.

It is an arithmetic number, because the mean of its divisors is an integer number (29792000).

Almost surely, 2^2512820940 is an apocalyptic number.

2512820940 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 2512820940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4290048000).

2512820940 is an abundant number, since it is smaller than the sum of its proper divisors (6067275060).

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

2512820940 is a wasteful number, since it uses less digits than its factorization.

2512820940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 2512820940 is about 50128.0454436436. The cubic root of 2512820940 is about 1359.5249458166.

The spelling of 2512820940 in words is "two billion, five hundred twelve million, eight hundred twenty thousand, nine hundred forty".